Supersymmetric Vertex Models with Domain Wall Boundary Conditions

Abstract

By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the $gl(1|1)$ and $gl(2|1)$ supersymmetric vertex models with domain wall boundary conditions. In the homogenous limit, these determinants degenerate to simple functions.

19 pages, 4 figures, to be published in J. Math. Phys

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• Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
• Factorized domain wall partition functions in trigonometric vertex models
• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
• Dual wavefunction of the symplectic ice
• Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model
• The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models
• Elliptic supersymmetric integrable model and multivariable elliptic functions
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
• Elliptic free-fermion model with OS boundary and elliptic Pfaffians